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8. a) $C = 2d + 5$ b) $C = 2(12) + 5 = 24 + 5 = \mathbf{$29}$. 9. Let width $= x$. Length $= x + 5$. Perimeter $= 2(x + x + 5) = 50$. $2(2x + 5) = 50 \Rightarrow 4x + 10 = 50 \Rightarrow 4x = 40 \Rightarrow x = 10$. Width = 10 cm , Length = 15 cm . Area $= 10 \times 15 = \mathbf{150 \text{ cm}^2}$. 10. $y' = 2x - 4$. Set to zero: $2x - 4 = 0 \Rightarrow x = 2$. Substitute back: $y = (2)^2 - 4(2) + 5 = 4 - 8 + 5 = 1$. Since coefficient of $x^2$ is positive, it is a Minimum value of 1 . The next wave of innovation promises to be